Stabilization for Euler–Bernoulli Beam Equation with Boundary Moment Control and Disturbance via a New Disturbance Estimator

Hua Cheng Zhou, Hongyinping Feng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We address the output feedback stabilization for a Euler–Bernoulli beam equation with boundary moment control and disturbance. The stabilization of this system has been studied in Guo et al. (J Dyn Control Syst. 2014;20:539–58), where the controller is based on full state feedback. In order to derive the output feedback controller, we design a new disturbance estimator to estimate the total disturbance in the sense that the estimation error signal belongs L2(0 , ∞) , and it decays exponentially if the initial state is smooth. Using the estimated total disturbance, we propose a control law to stabilize the system. Using admissibility theory, we show that the closed-loop system is exponentially stable and the signals in the disturbance estimator in the closed-loop are proved to be bounded.

Original languageEnglish
Pages (from-to)247-259
Number of pages13
JournalJournal of Dynamical and Control Systems
Volume27
Issue number2
DOIs
StatePublished - Apr 2021
Externally publishedYes

Keywords

  • Disturbance rejection
  • Euler–Bernoulli beam equation
  • Exponential stabilization
  • Output feedback

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